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Finding the Fourth Proportional to 3,647.52, 5,471.28 and 2,661.12

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Solution

The fourth proportional to 3,647.52, 5,471.28 and 2,661.12 is: 3,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.52 : 5,471.28 = 2,661.12 : x
  2. Step 2: Convert to fraction form
    3,647.52/5,471.28 = 2,661.12/x
  3. Step 3: Cross multiply
    3,647.52x = 5,471.28 × 2,661.12
  4. Step 4: Simplify right side
    3,647.52x = 14,559,732.63
  5. Step 5: Solve for x
    x = 14,559,732.63/3,647.52
  6. Step 6: Final answer
    x = 3,991.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.